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<h2><span class="refentrytitle">Type definition sobol</span></h2>
<p>sobol</p>
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<h2 xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv-title">Synopsis</h2>
<div xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv"><pre class="synopsis"><span class="comment">// In header: &lt;<a class="link" href="../../boost_random/reference.html#header.boost.random.sobol_hpp" title="Header &lt;boost/random/sobol.hpp&gt;">boost/random/sobol.hpp</a>&gt;

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<span class="keyword">typedef</span> <a class="link" href="sobol_engine.html" title="Class template sobol_engine">sobol_engine</a><span class="special">&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">uint_least64_t</span><span class="special">,</span> <span class="number">64u</span><span class="special">,</span> <span class="identifier">default_sobol_table</span> <span class="special">&gt;</span> <span class="identifier">sobol</span><span class="special">;</span></pre></div>
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<a name="id-1.3.35.5.6.39.4.4"></a><h2>Description</h2>
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<th align="left">Note</th>
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<tr><td align="left" valign="top"><p>This specialization of <a class="link" href="sobol_engine.html" title="Class template sobol_engine">sobol_engine</a>  supports up to 3667 dimensions.</p></td></tr>
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<p>
Data on the primitive binary polynomials <code class="computeroutput">a</code> and the corresponding starting values <code class="computeroutput">m</code> for Sobol sequences in up to 21201 dimensions was taken from</p>
<p> </p>
<div class="blockquote"><blockquote class="blockquote"><p>  S. Joe and F. Y. Kuo, Constructing Sobol sequences with better two-dimensional projections, SIAM J. Sci. Comput. 30, 2635-2654 (2008).  </p></blockquote></div>
<p> </p>
<p>See the original tables up to dimension 21201: <a href="https://web.archive.org/web/20170802022909/http://web.maths.unsw.edu.au/~fkuo/sobol/new-joe-kuo-6.21201" target="_top">https://web.archive.org/web/20170802022909/http://web.maths.unsw.edu.au/~fkuo/sobol/new-joe-kuo-6.21201</a></p>
<p>For practical reasons the default table uses only the subset of binary polynomials <code class="computeroutput">a</code> &lt; 2<sup>16</sup>.</p>
<p>However, it is possible to provide your own table to <a class="link" href="sobol_engine.html" title="Class template sobol_engine">sobol_engine</a>  should the default one be insufficient. </p>
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<td align="right"><div class="copyright-footer">Copyright © 2000-2005 Jens Maurer<br>Copyright © 2009, 2010 Steven Watanabe<p>
        Distributed under the Boost Software License, Version 1.0. (See accompanying
        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
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